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Identifying the System of Measurement
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Sort the units of measure into the appropriate system.
Customary System
Metric System
miles
ounces
deciliters
kilometers
centigrams
cups

Answer:

D: find the average of 6.9 and 7.0

Step-by-step explanation:

The reason D is correct is that, 6.9 squared is around 47.6, and 7.0 squared is 49.0

48 falls between 47.6 and 49.0

So if you find the average between 6.9 and 7.0, you would then find the nearest hundredth estimate of the \(\sqrt{48}\)

Answer:

on the exam its A

Step-by-step explanation:

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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Answer:

the answer is -60........

Answer:

-60! 1560 divided by 26 is 60, but any negative divided by a positive is a negative, so the product will be negative as well.

Step-by-step explanation:

Hope it helps! =D

The measure of the arc TQ is 180°.

Given that a circle with an angle subtended outside is 38° and a small arc of 104°, we need to determine the measure of arc TQ.

So, according to the property of a circle, we have,

m ∠R = 1/2 [m arc TQ - m arc SQ]

38° × 2 = m arc TQ - 104°

76° = m arc TQ - 104°

m arc TQ = 76° + 104°

m arc TQ = 180°

Hence the measure of the arc TQ is 180°.

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The two options to define increase in subscribers per amount of content is:

1)A Number of new subscribers divided by number of writers

2)Number of new subscribers divided by number of posts

Based on the fact that charlotte has launched two new websites and want to understand how to measure the increase in subscribers per amount of content.

The four options given to us are:

(Choice A) Number of new subscribers divided by number of writers (Choice B) Number of new subscribers divided by number of likes (Choice C) Number of new subscribers divided by number of posts (Choice D) Number of new subscribers divided by number of words

The only two choices which quantify content are number of writers and number of post. Hence A and C are the correct options.

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The complete question is given below:

Charlotte owns two entertainment websites. Charlotte wants to know which website gains more new subscribers per amount of content. Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

(Choice A)  Number of new subscribers divided by number of writers (Choice B)  Number of new subscribers divided by number of likes (Choice C)  Number of new subscribers divided by number of posts (Choice D)  Number of new subscribers divided by number of words

Answer:

4y - 6 =2y + 8

4y - 2y = 8 + 6

2y = 14

y = 14 / 2

y = 7

Answer:

I believe the answer is D

Step-by-step explanation:

The graph of the equation  y = tan(5x), y = 2 sin(5x), −π/15 ≤ x ≤ π/15 is illustrated below.

To start, let's graph each curve separately over the given range of x values. The first curve is y = tan(5x).

If we plot y = tan(5x) over the given range of x values, we get a graph that looks like this.

Now let's graph the second curve, y = 2 sin(5x), over the same range of x values.

If we plot y = 2 sin(5x) over the given range of x values, we get a graph that looks like this.

Now that we have both curves graphed, we can shade the region enclosed by the two curves.

The enclosed region is the area between the two curves, and it is bounded by the x-axis and the vertical lines x = −π/15 and x = π/15.

To shade the enclosed region, we can use a different color or pattern than the color or pattern used to graph the curves.

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Using the given equation, the missing values in the table are:

x            y

32         14

12          9

0           6

-8          4

-36       -3

Given the equation, y - 6 = x/4, we can rewrite the equation as:

y = x/4 + 6

For x = 12, we have:

y = 12/4 + 6 = 3 + 6

y = 9

For x = 0, we have:

y = 0/4 + 6 = 0 + 6

y = 6

For y = 4, we have:

4 = x/4 + 6

4 - 6 = x/4

-2 = x/4

-8 = x

x = -8

For y = -3, we have:

-3 = x/4 + 6

-3 - 6 = x/4

-9 = x/4

-36 = x

x = -36

Thus, using the given equation, the missing values in the table are:

x            y

32         14

12          9

0           6

-8          4

-36       -3

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Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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The correct answer choice is (a) there is an excess supply and the price can be expected to decrease.

What are supply and demand?

Supply and demand is a fundamental concept in economics that describes the relationship between the availability of goods or services and the demand for them. Supply refers to the amount of a product or service that producers are willing and able to provide to the market at a given price. Demand, on the other hand, refers to the amount of a product or service that consumers are willing and able to purchase at a given price.

1. Takis are producing hot chips faster than people want to buy them.

2. When supply exceeds demand, there is an excess supply of the product.

3. An excess supply can lead to a buildup of inventory and a potential decrease in price to stimulate demand.

4. (a) there is an excess supply and the price can be expected to decrease.

5. Given the situation and the relationship between supply and demand, it makes sense that an excess supply would lead to a decrease in price.

Therefore, (a) is the correct answer choice.

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The required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12).

What is differentiation ?

In math, isolation is one of the two important generalities piecemeal from integration. Isolation is a system of chancing the outgrowth of a function. Isolation is a process, in Maths, where we find the immediate rate of change in function grounded on one of its variables. The most common illustration is the rate change of relegation with respect to time, called haste. The contrary of chancing a outgrowth isanti-differentiation.

still, also the rate of change of x with respect to y is given by dy/ dx, If x is a variable and y is another variable. This is the general expression of outgrowth of a function and is represented as f'( x) = dy/ dx, where y = f( x) is any function.

Let the two number is x and y

According to given question.

Sum of two number =24

x+y=24

Then, y=24−x.......(1)

Again, product

 P=maximum=x × y

P=x(24−x 2)

P=24x−24x^2  .......(2)

We know that,

For maximum value

dP/dx =0

Now differentiating equation (2) with respect to x and we get,

dP/dx  =24−2x

⇒ 24−2x=0

⇒ 2x=24

⇒x=12

Again, differentiating equation (2) with respect to x and we get,

\(\frac{d^2p}{dx^2} = -2 < 0\)

Then,P is minimum at point x=12

Hence, the required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12)

This is the solution.

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Answer:

a particular order in which related things follow each other.

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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One indication that there are paired samples in a data set is the presence of a natural pairing or connection between the observations. In paired samples, each observation in one group or condition is directly related to a corresponding observation in the other group or condition.

Some common examples of paired samples include:

Pre-test and post-test measurements: When measurements are taken on the same individuals or subjects before and after an intervention or treatment, they form a natural pair.

Matched case-control studies: In medical or epidemiological studies, researchers may match cases (individuals with a certain condition) with controls (individuals without the condition) based on certain characteristics, such as age, gender, or other relevant factors. The matching creates pairs of observations.

Repeated measures: In experimental or longitudinal studies, where measurements are taken at multiple time points on the same individuals, the repeated measurements form paired samples.

If you notice a clear relationship or connection between the observations in the data set, it suggests the presence of paired samples. Paired sample analyses, such as paired t-tests or paired difference analysis, are appropriate for examining the differences or changes within each pair of observations.

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Suppose that g, h are elements of a group G. Prove that the equation xg = h, We aim to prove that in a group G, for elements g and h, the equation xg = h has a unique solution x = hg⁻¹.

Let's consider x = hg⁻¹, where h and g are arbitrary elements of G. We can verify this by substituting x into the equation

xg = (hg⁻¹)g = h(g⁻¹g) = h(e) = h.

We obtain h, which matches the right-hand side of the equation. This confirms that x = hg⁻¹ is a valid solution.

To prove uniqueness, assume there exists another element x' in G such that x'g = h. We can then multiply both sides by g⁻¹:

x'g(g⁻¹) = hg⁻¹(g⁻¹).

Simplifying, we get x' = hg⁻¹. Thus, x' is equal to the previously derived solution x = hg⁻¹. This demonstrates that any other candidate for x will be the same as x = hg⁻¹, ensuring the uniqueness of the solution.

Therefore, we have shown that for elements g and h in a group G, the equation xg = h has a unique solution x = hg⁻¹ in G.

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The approximate area of the walkway surrounding the circular ice rink, with a diameter of 80 feet and a 10-foot wide walkway, is approximately 3,142 square feet.

To find the area of the walkway, we need to calculate the difference between the areas of the larger circle (including the walkway) and the smaller circle (the ice rink). The formula for the area of a circle is A = π\(r^2\), where A is the area and r is the radius.

First, let's find the radius of the smaller circle (ice rink) by dividing the diameter by 2: 80 feet / 2 = 40 feet. Using the formula, the area of the smaller circle is A1 = π\((40 feet)^2\) = 1,600π square feet.

Next, let's find the radius of the larger circle (including the walkway) by adding the walkway's width (10 feet) to the radius of the smaller circle: 40 feet + 10 feet = 50 feet. The area of the larger circle is A2 = π\((50 feet)^2\) = 2,500π square feet.

To calculate the area of the walkway, we subtract the area of the smaller circle from the area of the larger circle: A2 - A1 = 2,500π - 1,600π = 900π square feet.

Approximating π to 3.14, we can calculate the approximate area of the walkway: 900π ≈ 900 * 3.14 = 2,826 square feet. Therefore, the approximate area of the walkway is 2,826 square feet.

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The probability of randomly selecting a score less than x = 34 from a normal distribution with a mean of µ = 40 and a standard deviation of σ = 8 is approximately 0.2266, or 22.66%.

First, we need to standardize the value of 34 using the formula for standardization:

Z = (x - µ) / σ

Where:

Z is the standard score or z-score,

x is the value of interest,

µ is the mean of the distribution, and

σ is the standard deviation of the distribution.

Plugging in the values, we get:

Z = (34 - 40) / 8 = -0.75

Now that we have the z-score, we can look up the corresponding probability from the standard normal distribution table or use statistical software. The standard normal distribution has a mean of 0 and a standard deviation of 1.

By looking up the z-score of -0.75 in the standard normal distribution table or using software, we find that the corresponding probability is approximately 0.2266. This means that there is a probability of 0.2266, or 22.66%, of randomly selecting a score less than 34 from the given normal distribution.

Alternatively, you can use software or a graphing calculator to directly calculate the probability using the standard normal distribution function. In this case, you would use the formula:

P(Z < -0.75) = Φ(-0.75)

Where Φ represents the cumulative distribution function (CDF) of the standard normal distribution. By evaluating this expression, you would get the same result of approximately 0.2266.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Neena's data from four samples of 200 marbles each, it is difficult to determine with certainty the number of marbles of each color in the jar. Neena would need to use a larger sample size and statistical methods to obtain a more reliable estimate.

Based on Neena's data, it is difficult to determine with certainty the number of marbles of each color in the jar.



- Neena took random samples of 200 marbles each, which is only a small fraction of the total number of marbles in the jar (3,000).
- The number of marbles of each color in each sample may vary, and the variation can be significant, especially considering the small sample size.
- Neena would need to take a larger sample size, ideally close to the total number of marbles, to have a more accurate estimate of the number of marbles of each color in the jar.
- Additionally, Neena would need to use statistical methods to analyze the data and determine the confidence level of her estimates.


To estimate the number of marbles of each color in the jar, Neena could use statistical sampling methods. However, her current approach of taking only four random samples of 200 marbles each is not likely to provide a reliable estimate. Here's why:

First, the sample size is too small. When the sample size is small relative to the population size, the margin of error can be large, and the estimate may not be very accurate. In this case, 200 marbles is only 6.7% of the total number of marbles in the jar. A larger sample size would be more representative of the population and would reduce the margin of error.

Second, there may be significant variation in the number of marbles of each color in each sample. For example, in one sample, there may be more red marbles than blue, while in another sample, the opposite may be true. This variation can be due to chance or sampling error and can make it difficult to draw conclusions about the true number of marbles of each color in the jar.

To address these issues, Neena could use a larger sample size and statistical methods to analyze the data. For example, she could use stratified random sampling to ensure that each color is represented in the sample proportionally to its prevalence in the population. She could also calculate confidence intervals for her estimates to determine the range of values that are likely to include the true value with a certain level of confidence.

In summary, based on Neena's data from four samples of 200 marbles each, it is difficult to determine with certainty the number of marbles of each color in the jar. Neena would need to use a larger sample size and statistical methods to obtain a more reliable estimate.

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Answer:

40.4

Step-by-step explanation:

I took the test

Given Data set of people who attend the concert has a mean of 36.4.

the sum of the values by adding them all up. Divide the sum by the number of values in the data set is known as the mean.

Given The data set shows the number of people who attended a concert over a period of 10 days.

12, 35, 27, 55, 22, 23, 60, 49, 15, 66

the Sum of the given data set = 364

from the general formula of the mean

mean = (sum of data)/ number of data

Given the number of data = 10

Thus

Mean = 364 / 10

Mean = 36.4

therefore, the Mean of the given Data set is 36.4.

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Using the normal distribution and the central limit theorem, we have that there is a:

a) 0.95 = 0.95% probability that the sample mean hardness for a random sample of 15 pins is at least 61.

b) 0% approximate probability that the sample mean hardness for a random sample of 50 pins is at least 61.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

                 Z = x-μ/ σ

It measures the number of standard deviations between the measurements and the mean.

Once the z-score is found, we look at the z-score table and find the p-value associated with that z-score, i.e. the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = σ/√n

In this problem:

Mean of 50, hence μ = 6

Standard deviation of 1.2, hence σ = 1.8

Sample of 9, hence n =9, s = 1.8/√9 = 0.6

(i) Item a:

The probability is 1 subtracted by the p-value of Z when X = 51, hence:                                                                          Z = x-μ/ σ

By the Central Limit Theorem:

   Z = 61-60/0.6

⇒ Z = 1.6

⇒ Z = 1.6 has a p value of 0.05

Therefore,

1 - 0.05 = 0.95

There is a 0.95 = 0.95% probability that the sample mean hardness for a random sample of 15 pins is at least 61.

(ii) Item b:

Even though the distribution is not normal, the sample size is of

n = 61 > 50 , hence the Central Limit Theorem can be applied.

S = 1.8/√40

  = 0.28

Based on: Z = x-μ/ σ

Z = 61 - 60/ 0.19

Z = 5.26

Z = 5.26  has a p-value of 1.

Now,

1 - 1 = 0

0% approximate probability that the sample mean hardness for a random sample of 50 pins is at least 61.

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The quadratic equation in standard form is:

2x² + 3x + 13 = 0

The quadratic equation is a polynomial equation of degree 2, which can be written in the standard form as  where a, b, and c are constants.

In the given equation 2x² + 3x = -13, we need to rearrange it in standard form by moving all the terms to one side of the equation to make the coefficient of  positive.

Step 1: Move all terms to one side of the equation:

2x² + 3x + 13 = 0

Step 2: Rearrange the terms to have the highest degree term first:

2x² + 3x + 13 = 0

Step 3: Check the coefficient of  and make it positive, if necessary:

In this case, the coefficient of is already positive, so no changes needed.

Hence, The quadratic equation in standard form is:

2x² + 3x + 13 = 0

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To put the number in scientific notation must put it between 1 and 10 times 10^x

Where x is the number of decimals

48,020,000 = 4.802 * 10^x

To find x count that we move the decimal point how many places

The decimal point is after the last zero

How many places to be between 4 and 8

There are 7 places between the last 0 and 4

So the answer is

Answer:

Roast beef i least expensive

Step-by-step explanation:

Answer:

Ham

Step-by-step explanation:

Answer:

True. Brainlyest plz

Answer:

Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1